Taming non convexity?

Representation of Chance-Constraints With Strong Asymptotic Guarantees

Autores: Jean B. Lasserre
Publicado en: IEEE Control Systems Letters, Edición 1/1, 2017, Página(s) 50-55, ISSN 2475-1456
Editor: IEEE
DOI: 10.1109/LCSYS.2017.2704295

Determining projection constants of univariate polynomial spaces

Autores: Simon Foucart, Jean B. Lasserre
Publicado en: Journal of Approximation Theory, 2018, Página(s) 74--91, ISSN 0021-9045
Editor: Academic Press
DOI: 10.1016/j.jat.2018.06.002

Lasserre Hierarchy for Large Scale Polynomial Optimization in Real and Complex Variables

Autores: Cédric Josz, Daniel K. Molzahn
Publicado en: SIAM Journal on Optimization, Edición 28/2, 2018, Página(s) 1017-1048, ISSN 1052-6234
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1034386

Positive functionals and Hessenberg matrices

Autores: Jean B. Lasserre, Mihai Putinar
Publicado en: Proceedings of the American Mathematical Society, 2018, Página(s) 1, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/14266

Approximate optimal designs for multivariate polynomial regression

Autores: Yohann De Castro, Fabrice Gamboa, Didier Henrion, Roxana Hess, Jean-Bernard Lasserre
Publicado en: The Annals of Statistics, Edición 47/1, 2019, Página(s) 127-155, ISSN 0090-5364
Editor: Institute of Mathematical Statistics
DOI: 10.1214/18-aos1683

Exact Solutions to Super Resolution on Semi-Algebraic Domains in Higher Dimensions

Autores: Yohann De Castro, F. Gamboa, Didier Henrion, J.-B. Lasserre
Publicado en: IEEE Transactions on Information Theory, Edición 63/1, 2017, Página(s) 621-630, ISSN 0018-9448
Editor: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2016.2619368

The empirical Christoffel function with applications in data analysis

Autores: Jean B. Lasserre, Edouard Pauwels
Publicado en: Advances in Computational Mathematics, 2019, Página(s) 1--30, ISSN 1019-7168
Editor: Kluwer Academic Publishers
DOI: 10.1007/s10444-019-09673-1

Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony?

Autores: Cédric Josz, Jean Bernard Lasserre, Bernard Mourrain
Publicado en: Advances in Computational Mathematics, 2019, ISSN 1019-7168
Editor: Kluwer Academic Publishers
DOI: 10.1007/s10444-019-09672-2

Optimal Data Fitting: A Moment Approach

Autores: Jean-Bernard Lasserre, Victor Magron
Publicado en: SIAM Journal on Optimization, Edición 28/4, 2018, Página(s) 3127-3144, ISSN 1052-6234
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1170108

A moment approach for entropy solutions to nonlinear hyperbolic PDEs

Autores: Swann Marx, Tillmann Weisser, Didier Henrion, Jean Bernard Lasserre
Publicado en: Mathematical Control & Related Fields, Edición 0/0, 2019, Página(s) 0-0, ISSN 2156-8472
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/mcrf.2019032

Volume of Sublevel Sets of Homogeneous Polynomials

Autores: Jean B. Lasserre
Publicado en: SIAM Journal on Applied Algebra and Geometry, Edición 3/2, 2019, Página(s) 372-389, ISSN 2470-6566
Editor: SIAM
DOI: 10.1137/18m1222478

Computation of Chebyshev Polynomials for Union of Intervals

Autores: Simon Foucart, Jean Bernard Lasserre
Publicado en: Computational Methods and Function Theory, 2019, ISSN 1617-9447
Editor: Springer Verlag
DOI: 10.1007/s40315-019-00285-w

In SDP Relaxations, Inaccurate Solvers Do Robust Optimization

Autores: Jean-Bernard Lasserre, Victor Magron
Publicado en: SIAM Journal on Optimization, Edición 29/3, 2019, Página(s) 2128-2145, ISSN 1052-6234
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1225677

Distributionally robust polynomial chance-constraints under mixture ambiguity sets

Autores: Jean B. Lasserre, Tillmann Weisser
Publicado en: Mathematical Programming, 2019, ISSN 0025-5610
Editor: Springer Verlag
DOI: 10.1007/s10107-019-01434-8

Semidefinite Relaxations for Lebesgue and Gaussian Measures of Unions of Basic Semialgebraic Sets

Autores: Jean B. Lasserre, Youssouf Emin
Publicado en: Mathematics of Operations Research, 2019, ISSN 0364-765X
Editor: Institute for Operations Research and the Management Sciences
DOI: 10.1287/moor.2018.0980

A MAX-CUT formulation of 0/1 programs

Autores: Jean B. Lasserre
Publicado en: Operations Research Letters, Edición 44/2, 2016, Página(s) 158-164, ISSN 0167-6377
Editor: Elsevier BV
DOI: 10.1016/j.orl.2015.12.014

A bounded degree SOS hierarchy for polynomial optimization

Autores: Jean B. Lasserre, Kim-Chuan Toh, Shouguang Yang
Publicado en: EURO Journal on Computational Optimization, Edición 5/1-2, 2017, Página(s) 87-117, ISSN 2192-4414
Editor: Springer
DOI: 10.1007/s13675-015-0050-y

SPECTRA – a Maple library for solving linear matrix inequalities in exact arithmetic

Autores: Didier Henrion, Simone Naldi, Mohab Safey El Din
Publicado en: Optimization Methods and Software, 2017, Página(s) 1-17, ISSN 1055-6788
Editor: Taylor & Francis
DOI: 10.1080/10556788.2017.1341505

Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems

Autores: V. Jeyakumar, J. B. Lasserre, G. Li, T. S. Phạm
Publicado en: SIAM Journal on Optimization, Edición 26/1, 2016, Página(s) 753-780, ISSN 1052-6234
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/15M1017922

Moments and Legendre-Fourier Series for Measures Supported on Curves

Autores: Jean B. Lasserre
Publicado en: Symmetry, Integrability and Geometry: Methods and Applications, Edición 11, 2015, ISSN 1815-0659
Editor: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/SIGMA.2015.077

Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity

Autores: Tillmann Weisser, Jean B. Lasserre, Kim-Chuan Toh
Publicado en: Mathematical Programming Computation, 2017, Página(s) 1-32, ISSN 1867-2949
Editor: Springer Verlag
DOI: 10.1007/s12532-017-0121-6

Bound-Constrained Polynomial Optimization Using Only Elementary Calculations

Autores: Etienne de Klerk, Jean B. Lasserre, Monique Laurent, Zhao Sun
Publicado en: Mathematics of Operations Research, Edición 42/3, 2017, Página(s) 834-853, ISSN 0364-765X
Editor: Institute for Operations Research and the Management Sciences
DOI: 10.1287/moor.2016.0829

Convergence rates of moment-sum-of-squares hierarchies for optimal control problems

Autores: Milan Korda, Didier Henrion, Colin N. Jones
Publicado en: Systems & Control Letters, Edición 100, 2017, Página(s) 1-5, ISSN 0167-6911
Editor: Elsevier BV
DOI: 10.1016/j.sysconle.2016.11.010

Computing Gaussian & exponential measures of semi-algebraic sets

Autores: Jean B. Lasserre
Publicado en: Advances in Applied Mathematics, Edición 91, 2017, Página(s) 137-163, ISSN 0196-8858
Editor: Academic Press
DOI: 10.1016/j.aam.2017.06.006

Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets

Autores: Milan Korda, Didier Henrion
Publicado en: Optimization Letters, 2017, ISSN 1862-4472
Editor: Springer Verlag
DOI: 10.1007/s11590-017-1186-x

Linear Conic Optimization for Inverse Optimal Control

Autores: Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre
Publicado en: SIAM Journal on Control and Optimization, Edición 54/3, 2016, Página(s) 1798-1825, ISSN 0363-0129
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/14099454X

On inverse optimal control via polynomial optimization

Autores: Jeremy Rouot, Jean-Bernard Lasserre
Publicado en: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017, Página(s) 721-726, ISBN 978-1-5090-2873-3
Editor: IEEE
DOI: 10.1109/CDC.2017.8263745

On Moment Problems with Holonomic Functions

Autores: Florent Bréhard, Mioara Joldes, Jean-Bernard Lasserre
Publicado en: Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation - ISSAC '19, 2019, Página(s) 66-73, ISBN 9781-450360845
Editor: ACM Press
DOI: 10.1145/3326229.3326258

Volume of sub-level sets of polynomials

Autores: Jean B. Lasserre
Publicado en: 2019 18th European Control Conference (ECC), 2019, Página(s) 1975-1980, ISBN 978-3-907144-00-8
Editor: IEEE
DOI: 10.23919/ecc.2019.8795995

Sorting out typicality with the inverse moment matrix SOS polynomial

Autores: Jean-Bernard Bernard Lasserre, Edouard Pauwels
Publicado en: Neural Information Processing Systems, Edición 29, 2016, Página(s) 190--198, ISBN 9781-510838819
Editor: Curran Associates, Inc.

Positivity certificates in optimal control

Autores: Edouard Pauwels, Didier Henrion, Jean-Bernard Lasserre
Publicado en: Springer Tracts in Advanced Robotics - Geometric and Numerical Foundations of Movements, 2017, Página(s) 113--132
Editor: Springer

Geometric and Numerical Foundations of Movements

Autores: Jean-Paul Laumond, Nicolas Mansard, Jean-Bernard Lasserre
Publicado en: Springer Tracts in Advanced Robotics, 2017, ISBN 978-3-319-51547-2
Editor: Springer International Publishing
DOI: 10.1007/978-3-319-51547-2

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